Question

In: Statistics and Probability

Independent Samples t-test in SPSS Imagine that you want to determine whether people who are homeless...

Independent Samples t-test in SPSS

  1. Imagine that you want to determine whether people who are homeless have greater levels of depression lf they HAVE A DISABILITY compared to people who are homeless and DO NOT have a disability. The scores below represent the raw scores for the Stewart Depression Scale, which measures people's level of depression {higher scores represent greater depression levels). You will need to take the raw scores from the table below, and compute at-test analysis in SPSS. Once you compute the t-test in SPSS, provide the answers to questions A-D below.

Homeless Without Disability (Xt}

Homeless With Disability (X2)

15

12

17

22

15

25

13

20

19

15

23

18

18

17

10

15

    1. Review the output from SPSS to determine whether there is a statistically significant difference between the two groups.
      B. Write up your results in APA/Tablet format (like in the the Tegrity lecture)
  1. If results are significant, review descriptive statistics to determine which group was more or less likely to have a higher level of depression
  2. Copy the tables from the SPSS output, and copy it into this document, just below this question.

Solutions

Expert Solution

Part a

Review the output from SPSS to determine whether there is a statistically significant difference between the two groups.

From given SPSS output, we get the p-value for this test as 0.406 which is greater than the default level of significance or alpha value 0.05. So, we do not reject the null hypothesis. This means there is insufficient evidence to conclude that there is a statistically significant difference between the two groups.

Part b

Write up your results in APA/Tablet format (like in the the Tegrity lecture)

We reject the null hypothesis (t = -0.857, df = 14, p = 0.406) at 5% level of significance. There is insufficient evidence to conclude that there is a statistically significant difference between the two groups.

  1. If results are significant, review descriptive statistics to determine which group was more or less likely to have a higher level of depression

Results are not significant. From given descriptive statistics the group homeless with disability have a higher level of depression than the group homeless with disability.

  1. Copy the tables from the SPSS output, and copy it into this document, just below this question.

Required SPSS outputs are given as below:

Group Statistics

Type

N

Mean

Std. Deviation

Std. Error Mean

Depression Level

Homeless Without Disability

8

16.2500

3.95511

1.39834

Homeless With Disability

8

18.0000

4.20883

1.48805

Independent Samples Test

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

Depression Level

Equal variances assumed

.045

.834

-.857

14

.406

-1.75000

2.04197

-6.12959

2.62959

Equal variances not assumed

-.857

13.946

.406

-1.75000

2.04197

-6.13118

2.63118


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